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Forced thermal ratchets.

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TLDR
In this paper, the authors considered a Brownian particle in a periodic potential under heavy damping and showed that if the particle is subject to an external force having time correlations, detailed balance is lost and the particle can exhibit a nonzero net drift speed.
Abstract
We consider a Brownian particle in a periodic potential under heavy damping. The second law forbids it from displaying any net drift speed, even if the symmetry of the potential is broken. But if the particle is subject to an external force having time correlations, detailed balance is lost and the particle can exhibit a nonzero net drift speed. Thus, broken symmetry and time correlations are sufficient ingredients for transport.

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Citations
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Journal ArticleDOI

Stokes efficiency of temporally rocked ratchets

TL;DR: In this paper, the generalized efficiency of an adiabatically rocked ratchet with both spatial and temporal asymmetry was studied and an analytical expression for generalized efficiency in the deterministic case was obtained.
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StructureMan: A Structure Manipulation Tool to Study Large Scale Biomolecular Interactions.

TL;DR: In this article, a Structure Manipulation (StructureMan) program is introduced to operate the structures when studying the large-scale biomolecular interactions. But, due to their large scales, many biomolescular interactions are difficult to be simulated via all atom models.
Journal ArticleDOI

Ratcheting fluid with geometric anisotropy

TL;DR: In this article, two asymmetric, sawtooth-like structures are placed facing each other and form a corrugated fluid channel, which is then forced to open and close periodically.
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Converting external potential fluctuations into nonzero time-average electric currents using a single nanopore

TL;DR: In this article, the authors demonstrate directional electrical transduction from fluctuating external signals using a single nanopore of conical shape immersed in an ionic aqueous solution, and characterize experimentally the average output currents obtained by the electrical rectification of zero time-average input potentials.
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Realistic Models of Biological Motion

TL;DR: In this paper, a statistical physical description for the description of motion of molecular motor proteins has been developed, which is referred to as ''thermal ratchets'' and can be used for the modeling of biological motion.
References
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Book

Stochastic processes in physics and chemistry

TL;DR: In this article, the authors introduce the Fokker-planck equation, the Langevin approach, and the diffusion type of the master equation, as well as the statistics of jump events.

Stochastic Processes in Physics and Chemistry

Abstract: Preface to the first edition. Preface to the second edition. Abbreviated references. I. Stochastic variables. II. Random events. III. Stochastic processes. IV. Markov processes. V. The master equation. VI. One-step processes. VII. Chemical reactions. VIII. The Fokker-Planck equation. IX. The Langevin approach. X. The expansion of the master equation. XI. The diffusion type. XII. First-passage problems. XIII. Unstable systems. XIV. Fluctuations in continuous systems. XV. The statistics of jump events. XVI. Stochastic differential equations. XVII. Stochastic behavior of quantum systems.
Book

Molecular Cell Biology

TL;DR: Molecular cell biology, Molecular cell biology , مرکز فناوری اطلاعات و اصاع رسانی, کδاوρزی
Book

The Fokker-Planck Equation: Methods of Solution and Applications

Hannes Risken
TL;DR: In this paper, the Fokker-Planck Equation for N Variables (FPE) was extended to N = 1 variable and N = 2 variables, where N is the number of variables in the system.